Simplify: (i) \( \left(16^{-1 / 5}\right)^{5 / 2} \) (ii) \( \sqrt[5]{(32)^{-3}} \) (iii) \( \sq...

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Simplify:
(i) \( \left(16^{-1 / 5}\right)^{5 / 2} \)
(ii) \( \sqrt[5]{(32)^{-3}} \)
(iii) \( \sqrt[3]{(343)^{-2}} \)
(iv) \( (0.001)^{1 / 3} \)
(v) \( \frac{(25)^{3 / 2} \times(243)^{3 / 5}}{(16)^{5 / 4} \times(8)^{4 / 3}} \)
(vi) \( \left(\frac{\sqrt{2}}{5}\right)^{8} \div\left(\frac{\sqrt{2}}{5}\right)^{13} \)
(vii) \( \left(\frac{5^{-1} \times 7^{2}}{5^{2} \times 7^{-4}}\right)^{7 / 2} \times\left(\frac{5^{-2} \times 7^{3}}{5^{3} \times 7^{-5}}\right)^{-5 / 2} \)
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